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You can look at PV=NRT to know the answer to this. If you keep temperature and moles constant and double pressure, then the volume has to halve. It gets trickier if you change more than one variable.
inversely proportional, and an increase in volume in a system is only recognized if it is the result of change in volume, which is usually assumed unless the problem involves pumping an inert gas into a system
Yes, they are. When you decrease a volume molecules have less space to move around, so they collide more--increasing the pressure. When you increase the volume molecules have more space and therefore, collide less--decreasing the pressure.
They are inversely related. When volume decreases the number of moles remain the same, but the frequency of the collisions increase. The particles collide more often and this increases the pressure. When volume increases the particles have more space. They collide less and the pressure decreases.
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